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Geometric Analysis on Symmetric Spaces (Mathematical Surveys and Monographs) (Mathematical Surveys & Monographs) by Sigurdur Helgason is a nonfiction available to read on EtoBox.

What is Geometric Analysis on Symmetric Spaces (Mathematical Surveys and Monographs) (Mathematical Surveys & Monographs) about?

This author gives the first systematic exposition of geometric analysis on Riemannian symmetric spaces and its relationship to the representation theory of semisimple Lie groups. The book starts with modern integral geometry for double fibrations and treats several examples in detail. After discussing the theory of Radon transforms and Fourier transforms on symmetric spaces, Helgason examines applications to invariant differential equations on symmetric spaces, particularly potential theory and wave equations. The book concludes with a chapter on eigenspace representations--that is, representations on solution spaces of invariant differential equations. Known for his high-quality expositions, Helgason received the 1988 AMS Steele Prize for his earlier books Differential Geometry, Lie Groups and Symmetric Spaces and Groups and Geometric Analysis. Containing exercises (with solutions) and references to further results, this book would be suitable for advanced graduate courses in modern integral geometry, analysis on Lie groups, or representation theory of semisimple Lie groups.

Who reads Geometric Analysis on Symmetric Spaces (Mathematical Surveys and Monographs) (Mathematical Surveys & Monographs)?

Author

Sigurdur Helgason

Publisher

American Mathematical Society

Published

1994

Language

EN

ISBN

9780821815380

Category

nonfiction

Subjects

Mathematics, Stem